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Finding the Third Proportional to 977,631.89 and 1,431,450.07

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Solution

The third proportional to 977,631.89 and 1,431,450.07 is: 2,095,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,631.89 : 1,431,450.07 = 1,431,450.07 : x
  2. Step 2: Convert to fraction form
    977,631.89/1,431,450.07 = 1,431,450.07/x
  3. Step 3: Cross multiply
    977,631.89x = 1,431,450.07 × 1,431,450.07
  4. Step 4: Simplify right side
    977,631.89x = 2,049,049,303,797.66
  5. Step 5: Solve for x
    x = 2,049,049,303,797.66/977,631.89
  6. Step 6: Final answer
    x = 2,095,931.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.